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Finding the Fourth Proportional to 47,282.64, 70,835.40 and 42,414

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Solution

The fourth proportional to 47,282.64, 70,835.40 and 42,414 is: 63,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282.64 : 70,835.40 = 42,414 : x
  2. Step 2: Convert to fraction form
    47,282.64/70,835.40 = 42,414/x
  3. Step 3: Cross multiply
    47,282.64x = 70,835.40 × 42,414
  4. Step 4: Simplify right side
    47,282.64x = 3,004,412,655.60
  5. Step 5: Solve for x
    x = 3,004,412,655.60/47,282.64
  6. Step 6: Final answer
    x = 63,541.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.